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Finding the Fourth Proportional to 7,884.86, 11,841.84 and 5,289.62

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Solution

The fourth proportional to 7,884.86, 11,841.84 and 5,289.62 is: 7,944.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.86 : 11,841.84 = 5,289.62 : x
  2. Step 2: Convert to fraction form
    7,884.86/11,841.84 = 5,289.62/x
  3. Step 3: Cross multiply
    7,884.86x = 11,841.84 × 5,289.62
  4. Step 4: Simplify right side
    7,884.86x = 62,638,833.70
  5. Step 5: Solve for x
    x = 62,638,833.70/7,884.86
  6. Step 6: Final answer
    x = 7,944.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.